Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/4288
Title: | Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems. |
Authors: | Santos, Lea F. Chavez-Carlos, Jorge Bastarrachea-Magnani, Miguel A. Lopez-del-Carpio, B. Stransky, Pavel Lerma-Hernandez, Sergio Hirsch, Jorge G. 0000-0001-9400-2709 |
Keywords: | quantum Lyapunov exponents classical Lyapunov exponents atom-field interaction systems |
Issue Date: | 26-Jul-2018 |
Publisher: | arXiv.org |
Citation: | Chavez-Carlos, J., Lopez-del-Carpio, B., Bastarrachea-Magnani, M.A., Stransky, P., Lerma-Hernandez, S., Santos, L.F., and Hirsch, J.G. (2018) Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems. arXiv: 1807.10292. |
Series/Report no.: | arXiv; |
Abstract: | The exponential growth of the out-of-time-ordered correlator (OTOC) has been proposed as a quantum sig- nature of classical chaos. The growth rate is expected to coincide with the classical Lyapunov exponent. This quantum-classical correspondence has been corroborated for the kicked rotor and the stadium billiard, which are one-body chaotic systems. The conjecture has not yet been validated for realistic systems with interactions. We make progress in this direction by studying the OTOC in the Dicke model, where two-level atoms cooperatively interact with a quantized radiation field. For parameters where the model is chaotic in the classical limit, the OTOC increases exponentially in time with a rate that closely follows the classical Lyapunov exponen |
URI: | https://arxiv.org/pdf/1807.10292.pdf https://hdl.handle.net/20.500.12202/4288 |
ISSN: | 2331-8422 |
Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
File | Description | Size | Format | |
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Arxiv 26Jul2018 Quantum and Classical1807.10292.pdf | arxiv preprint | 308.03 kB | Adobe PDF | View/Open |
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